Question

Through what angle does the minute hand of a clock turn in 12 minutes of time? A. 72° B. 120° C. 12° D. 36°

Answer 1

The minute hand makes full angle of 360° in 1 hour = 60 minutes.

12 minutes form $\dfrac{12}{60}=\dfrac{1}{5}$ of an hour.

Then the minute hand makes $\dfrac{1}{5}$ of full angle in 12 minutes. $\dfrac{1}{5}$ of  360° is

$\dfrac{360^{\circ}}{5}=72^{\circ}.$

Answer: option A.

Answer 2

Answer:

The correct answer option is A. 72°

Step-by-step explanation:

We know that,

the number of minutes the minute hand has moved = 12; and

the total number of minutes in a complete circle (of clock) = 60

So it means the minute hand has moved $\frac{12}{60} = \frac{1}{5}$ of the clock.

Since there are 360 degrees in a clock (circle), so the minute hand would make an angle of $\frac{1}{5}$ of 360 degrees of the clock.

$\frac{1}{5}$ × $360= 72$°

Therefore, the minute hand makes an angle of 72° degree in 12 minutes of time.